Generalized gravitational entropy

Apr 17, 2013
29 pages
Published in:
  • JHEP 08 (2013) 090
  • Published: 2013
e-Print:

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Abstract: (Springer)
We consider classical Euclidean gravity solutions with a boundary. The boundary contains a non-contractible circle. These solutions can be interpreted as computing the trace of a density matrix in the full quantum gravity theory, in the classical approximation. When the circle is contractible in the bulk, we argue that the entropy of this density matrix is given by the area of a minimal surface. This is a generalization of the usual black hole entropy formula to euclidean solutions without a Killing vector.
Note:
  • 26+7 pages, 8 figures. V2: Minor changes and references added
  • AdS-CFT Correspondence
  • Black Holes
  • gravitation: entropy
  • gravitation: Euclidean
  • entropy: entanglement
  • gravitation: duality
  • black hole: entropy
  • approximation: classical
  • surface: minimal
  • vector: Killing